Soliton dynamics for the general Degasperis-Procesi equation

12 Dec 2017  ·  Omel'yanov Georgy ·

We consider the general Degasperis-Procesi model of shallow water out-flows. This fife parametric family of conservation laws contains, in particular, KdV, Camassa-Holm, and Degasperis-Procesi equations... The main result consists of a criterion which guarantees the existence of a smooth soliton type solution. We discuss also the scenario of soliton interaction for this model in the nonintegrable case. read more

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Analysis of PDEs